Grothendieck-Riemann-Roch and the moduli of Enriques surfaces

Mathematics – Algebraic Geometry

Scientific paper

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5 pages

Scientific paper

We give a short and "classical" proof of Borcherds' theorem that the moduli
space of Enriques surfaces is quasi-affine. The use of the Borcherds' product
is replaced in our proof by an application of the Grothendieck-Riemann-Roch
theorem.

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